13 citations · 25 across the 12 of their papers we have counts for
13 papers
On the extension of battys theorem on the semigroup asymptotic stability
Grigory M. Sklyar, Piotr Polak, Bartosz Wasilewski
The well-known Batty's theorem states that if a -semigroup is bounded and the spectrum of the generator is contained in the open left-half plane of , th…
Implementation of the algorithm for constructing homogeneous approximations of nonlinear control systems
Grigory Sklyar, Pavel Barkhayev, Svetlana Ignatovich +1
We present a 'calculator' for constructing a homogeneous approximation of nonlinear control systems, which is based on the algebraic approach developed by the authors in their prev…
Truncated Hausdorff Moment Problem and Analytic Solution of the Time-Optimal Problem for One Class of Nonlinear Control Systems
Grigory M. Sklyar, Svetlana Yu. Ignatovich
A complete analytic solution for the time-optimal control problem for nonlinear control systems of the form , , , is obtained for arbi…
Conditions of exact null controllability and the problem of complete stabilizability for time-delay systems
Pavel Barkhayev, Rabah Rabah, Grigory Sklyar
For a class of linear time-delay control systems satisfying the property of completability of the generalized eigenvectors we prove that the problems of complete stabilizability an…
Resolvent of the generator of the -group with non-basis family of eigenvectors and sharpness of the XYZ theorem
Grigory M. Sklyar, Vitalii Marchenko
The paper presents an explicit form of the resolvent for the class of generators of -groups with purely imaginary eigenvalues, clustering at , and complete minimal no…
Exact null controllability, complete stabilizability and exact final observability: the case of neutral type systems
Rabah Rabah, Grigory Sklyar, Pavel Yu. Barkhayev +2
For abstract linear systems in Hilbert spaces we revisit the problems of exact controllability and complete stabilizability (stabilizability with an arbitrary decay rate), the latt…